Long melusine

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Long fuse with two tails
x = 7, y = 5, rule = B3/S23 2o$bo2bo$bobobo$2bo2bo$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 48 ]]
Pattern type Strict still life
Number of cells 11
Bounding box 7 × 5
Frequency class 31.9
Static symmetry .c (C2_1)
Discovered by Unknown
Year of discovery Unknown

Long melusine (or long fuse with two tails) is an 11-cell still life consisting of a long fuse with two tails.

While sometimes referred to as trans-long fuse with two tails, this distinction is slightly misleading, as there is no way to connect two tails to a "long fuse" of length 3 in cis arrangement. The closest alternative, welding the two tails, yields a loaf.

Occurrence

See also: List of common still lifes, Most common objects on Catagolue

Of the 46 11-cell still lifes, it is the fourth rarest. It is the rarest of those without a hook motif.

This still life does not occur in final patterns of collisions in octohash, octo3obj or octo3g databases.

Glider synthesis

Main article: Glider synthesis

This still life is known to be constructible with 5 gliders.[1] Some known syntheses can be found in Mark Niemiec's database.[2] A 6-glider synthesis was found by Goldtiger997 in March 2021.[3][4] A 5-glider synthesis was found by Carson Cheng in May 2023.[5][6]


x = 40, y = 29, rule = B3/S23 22bo$22bobo$22b2o4$9bo$7bobo$8b2o2$33b2o$34bo2bo$34bobobo$35bo2bo$38b 2o4$3o$2bo$bo$21b3o$21bo$22bo3$30b3o$30bo$31bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 12 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 55 PAUSE 2 LOOP 56 ]]
A 5G synthesis[6]
(click above to open LifeViewer)
x = 71, y = 81, rule = B3/S23 68bo$68bobo$5bo62b2o$6b2o$5b2o20$22bo$23bo$21b3o11$53b2o$54bo2bo$54bob obo$55bo2bo$58b2o8$24b3o$26bo$25bo$39b2o$38b2o$40bo24$bo$b2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 700 THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 101 PAUSE 1 T 130 PAUSE 2 LOOP 131 ]]
A 6G synthesis[4]
(click above to open LifeViewer)
x = 51, y = 43, rule = B3/S23 46bo$45bo$45b3o2$5bo$3bobo$4b2o2$15bo$13bobo$14b2o5$19bobo$20b2o$20bo 13bo$34bobo$34b2o3$44b2o$45bo2bo$45bobobo$46bo2bo$49b2o4$10b3o$12bo$ 11bo8$2o$b2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 34 PAUSE 1 T 52 PAUSE 1 T 74 PAUSE 2 LOOP 75 ]]
A 7G synthesis[2]
(click above to open LifeViewer)


References

  1. xs11_17842sg at Adam P. Goucher's Catagolue
  2. 2.0 2.1 The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-16.rle)
  3. Goldtiger997 (March 19, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  4. 4.0 4.1 shinjuku (#1112064197) (March 19, 2021). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  5. Carson Cheng (May 28, 2023). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
  6. 6.0 6.1 shinjuku (#4362255035) (May 27, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.